To solve this, we’ll first need to set it as a system of equations.
First, let’s let
x = No. of $32 books purchased.
y = No. of $44 books purchased.
We know that 54 books were sold in total and they the total cost of the books sold were 1968. Using this information we can come up with two equations.
x + y = 54
32x + 44y = 1968
We will solve this system by the substitution method. Solve the first equation for y.
y = -x + 54
Substitute this for y in your second equation.
32x + 44(-x + 54) = 1968
Distribute and add like terms.
-12x + 2376 = 1968
Solve for x.
x = 34.
Your answer should be: 34 $32 books were purchased.
Answer:
The equation should be 8(x+3)
Y= 6912/3.3x
hope this helped!! <3
Answer:
The solution of |3x-9|≤15 is [-2;8] and the solution |2x-3|≥5 of is (-∞,2] ∪ [8,∞)
Step-by-step explanation:
When solving absolute value inequalities, there are two cases to consider.
Case 1: The expression within the absolute value symbols is positive.
Case 2: The expression within the absolute value symbols is negative.
The solution is the intersection of the solutions of these two cases.
In other words, for any real numbers a and b,
- if |a|> b then a>b or a<-b
- if |a|< b then a<b or a>-b
So, being |3x-9|≤15
Solving: 3x-9 ≤ 15
3x ≤15 + 9
3x ≤24
x ≤24÷3
x≤8
or 3x-9 ≥ -15
3x ≥-15 +9
3x ≥-6
x ≥ (-6)÷3
x ≥ -2
The solution is made up of all the intervals that make the inequality true. Expressing the solution as an interval: [-2;8]
So, being |2x-3|≥5
Solving: 2x-3 ≥ 5
2x ≥ 5 + 3
2x ≥8
x ≥8÷2
x≥8
or 2x-3 ≤ -5
2x ≤-5 +3
2x ≤-2
x ≤ (-2)÷2
x ≤ -2
Expressing the solution as an interval: (-∞,2] ∪ [8,∞)
Answer:
Step-by-step explanation:
I have answered ur question
